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Finding the Fourth Proportional to 441.80, 609.53 and 275.95

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Solution

The fourth proportional to 441.80, 609.53 and 275.95 is: 380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.80 : 609.53 = 275.95 : x
  2. Step 2: Convert to fraction form
    441.80/609.53 = 275.95/x
  3. Step 3: Cross multiply
    441.80x = 609.53 × 275.95
  4. Step 4: Simplify right side
    441.80x = 168,198.97
  5. Step 5: Solve for x
    x = 168,198.97/441.80
  6. Step 6: Final answer
    x = 380.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.